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Finding the Fourth Proportional to 3,574.87, 4,932.16 and 2,316.90

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Solution

The fourth proportional to 3,574.87, 4,932.16 and 2,316.90 is: 3,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.87 : 4,932.16 = 2,316.90 : x
  2. Step 2: Convert to fraction form
    3,574.87/4,932.16 = 2,316.90/x
  3. Step 3: Cross multiply
    3,574.87x = 4,932.16 × 2,316.90
  4. Step 4: Simplify right side
    3,574.87x = 11,427,334.21
  5. Step 5: Solve for x
    x = 11,427,334.21/3,574.87
  6. Step 6: Final answer
    x = 3,196.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.